462,480
462,480 is a composite number, even.
462,480 (four hundred sixty-two thousand four hundred eighty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 41 × 47. Its proper divisors sum to 1,037,424, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x70E90.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 84,264
- Square (n²)
- 213,887,750,400
- Cube (n³)
- 98,918,806,804,992,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 1,499,904
- φ(n) — Euler's totient
- 117,760
- Sum of prime factors
- 104
Primality
Prime factorization: 2 4 × 3 × 5 × 41 × 47
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√462,480 = [680; (17, 1360)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty-two thousand four hundred eighty
- Ordinal
- 462480th
- Binary
- 1110000111010010000
- Octal
- 1607220
- Hexadecimal
- 0x70E90
- Base64
- Bw6Q
- One's complement
- 4,294,504,815 (32-bit)
- Scientific notation
- 4.6248 × 10⁵
- As a duration
- 462,480 s = 5 days, 8 hours, 28 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υξβυπʹ
- Chinese
- 四十六萬二千四百八十
- Chinese (financial)
- 肆拾陸萬貳仟肆佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 462480, here are decompositions:
- 13 + 462467 = 462480
- 37 + 462443 = 462480
- 43 + 462437 = 462480
- 59 + 462421 = 462480
- 61 + 462419 = 462480
- 71 + 462409 = 462480
- 79 + 462401 = 462480
- 103 + 462377 = 462480
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.14.144.
- Address
- 0.7.14.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.14.144
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 462,480 and was likely granted around 1891.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.